Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L 3 , ax2 + by2 )

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dc.authorid0000-0002-1959-6102en_US
dc.authoridNon-Null Curvesen_US
dc.contributor.authorAltın, Mustafa
dc.contributor.authorKazan, Ahmet
dc.contributor.authorKaradağ, Hacı Bayram
dc.date.accessioned2021-07-13T20:19:47Z
dc.date.available2021-07-13T20:19:47Z
dc.date.issued2020en_US
dc.departmentMTÖ Üniversitesi, Doğanşehir Vahap Küçük Meslek Yüksekokulu, Bilgisayar Teknolojileri Bölümüen_US
dc.description.abstractIn this study, firstly we give the weighted curvatures of non-null planar curves in Lorentz-Minkowski space with density e^(ax2+by2) and we obtain the planar curves whose weighted curvatures vanish in this space according to the cases of not all zero constants a and b. After giving the Frenet vectors of the non-null planar curves with zero weighted curvature in Lorentz-Minkowski space with density e^(ax2), we create the Smarandache curves of them. With the aid of these curves and their Smarandache curves, we get the ruled surfaces whose base curves are non-null curves with vanishing weighted curvature and ruling curves are Smarandache curves of them. Followingly, we give some characterizations for these ruled surfaces by obtaining the mean and Gaussian curvatures, distribution parameters and striction curves of them. Also, rotational surfaces which are generated by non-null planar curves with zero weighted curvatures in Lorentz-Minkowski space E^3_1 with density e^(ax2+by2) are studied according to some cases of not all zero constants a and b. We draw the graphics of obtained surfaces.en_US
dc.description.sponsorshipİnönü Üniversitesi BAP - Proje Numarası FDK-2018-1349en_US
dc.identifier.citationAltın, M., Kazan, A., Karadağ, H. (2020). Ruled and rotational surfaces generated by non-null curves with zero weighted curvature in ((Formula presented), ax2 + by2) International Electronic Journal of Geometry, 13 (2), 11-29.en_US
dc.identifier.doi10.36890/iejg.599817
dc.identifier.endpage29en_US
dc.identifier.issn1307-5624en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage11en_US
dc.identifier.urihttps://doi.org/10.36890/iejg.599817
dc.identifier.urihttps://hdl.handle.net/20.500.12899/280
dc.identifier.volume13en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKazan, Ahmet
dc.language.isoenen_US
dc.publisherKazım İlarslanen_US
dc.relation.ispartofInternational Electronic Journal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectWeighted curvatureen_US
dc.subjectLorentz-Minkowski spaceen_US
dc.subjectSpacelike and timelike curvesen_US
dc.subjectRuled surfaceen_US
dc.subjectRotational surfaceen_US
dc.titleRuled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L 3 , ax2 + by2 )en_US
dc.typeArticleen_US

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